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Solve the following.
If A and B are independent events such that P(A) = 1/4 and P(B) = 2/3. Find P(A ∩ B).
If $A$ and $B$ are independent events such that $P(A) = 1/4$ and $P(B) = 2/3$. Find $P(A \cap B)$.
Answer
Answer
For independent events, $P(A \cap B) = P(A)\,P(B) = \frac{1}{4} \times \frac{2}{3} = \frac{1}{6}$.
Final answer: $\frac{1}{6}$